The principles of mathematics education are the fundamental tenets that guide the teaching and learning of mathematics. They are based on research and evidence, and they help to ensure that all students have the opportunity to learn mathematics well.
1. Excellence in mathematics education requires equity— high expectations and strong support for all students.
2. A curriculum is more than a collection of activities: it must be coherent, focused on important mathematics, and well articulated across the grades.
3. Effective mathematics teaching requires understanding what students know and need to learn and then challenging and supporting them to learn it well.
4. Students must learn mathematics with understanding, actively building new knowledge from experience and prior knowledge.
5. Assessment should support the learning of important mathematics and furnish useful information to both teachers and students.